Search a number
-
+
5969781664224 = 253761145632847
BaseRepresentation
bin101011011011111001010…
…1101110010100111100000
3210010201001100102001010220
41112313302231302213200
51240302103101223344
620410251351123040
71154205516616650
oct126676255624740
923121040361126
105969781664224
1119a1852132534
12804b97973480
13343c42990941
14168d2078c360
15a544b0d1c19
hex56df2b729e0

5969781664224 has 96 divisors (see below), whose sum is σ = 18202940937216. Its totient is φ = 1677690385920.

The previous prime is 5969781664199. The next prime is 5969781664271. The reversal of 5969781664224 is 4224661879695.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72775432 + ... + 72857415.

It is an arithmetic number, because the mean of its divisors is an integer number (189613968096).

Almost surely, 25969781664224 is an apocalyptic number.

It is an amenable number.

5969781664224 is an abundant number, since it is smaller than the sum of its proper divisors (12233159272992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5969781664224 is a wasteful number, since it uses less digits than its factorization.

5969781664224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145632928 (or 145632920 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 69.

The spelling of 5969781664224 in words is "five trillion, nine hundred sixty-nine billion, seven hundred eighty-one million, six hundred sixty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 84 96 112 122 168 183 224 244 336 366 427 488 672 732 854 976 1281 1464 1708 1952 2562 2928 3416 5124 5856 6832 10248 13664 20496 40992 145632847 291265694 436898541 582531388 873797082 1019429929 1165062776 1747594164 2038859858 2330125552 3058289787 3495188328 4077719716 4660251104 6116579574 6990376656 8155439432 8883603667 12233159148 13980753312 16310878864 17767207334 24466318296 26650811001 32621757728 35534414668 48932636592 53301622002 62185225669 71068829336 97865273184 106603244004 124370451338 142137658672 186555677007 213206488008 248740902676 284275317344 373111354014 426412976016 497481805352 746222708028 852825952032 994963610704 1492445416056 1989927221408 2984890832112 5969781664224